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Finding the Fourth Proportional to 1,037.45, 1,431.68 and 565.34

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Solution

The fourth proportional to 1,037.45, 1,431.68 and 565.34 is: 780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.45 : 1,431.68 = 565.34 : x
  2. Step 2: Convert to fraction form
    1,037.45/1,431.68 = 565.34/x
  3. Step 3: Cross multiply
    1,037.45x = 1,431.68 × 565.34
  4. Step 4: Simplify right side
    1,037.45x = 809,386.72
  5. Step 5: Solve for x
    x = 809,386.72/1,037.45
  6. Step 6: Final answer
    x = 780.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.